Learn Conical Coordinates with Mathworld

[TheDestroyer]

Anyone here can teach me the conical coordinates?

I tried reading it in mathworld, but didn't understand it, anyone can give me the direct transformation, jacobian, some transforms and use of it?

 

[robphy]

After Googling, I believe these may be useful

http://arnold.usno.navy.mil/murison/Maple/precession/Precession16.html

http://mathworld.wolfram.com/HelmholtzDifferentialEquationConicalCoordinates.html

http://www.maths.soton.ac.uk/staff/Andersson/MA361/node50.html

 

[arildno]

It seems to me that conical coordinates are only elegant when describing a cone..

 

[Drakus]

My colleagues and I derived a set of conical coordinates to calculate the geodesic distance on the light cone (S. P. Drake, B. D. O. Anderson, and C. B. Yu, "Causal association of electromagnetic signals using the Cayley-Menger determinant," Applied Physics Letters 95 (3), 034106 (2009)).

These conical coordinates are also described here (http://www.physics.adelaide.edu.au/theory/staff/sdrake/conicalCoords.html" )